Topology of vortices
Tores invariants des systèmes dynamiques hamiltoniens
Trajectoires bornées d'une particule soumise à un champ magnétique symétrique linéaire
Transition le long des chaînes de tores invariants pour les systèmes hamiltoniens analytiques
Transparent potentials and hamiltonian systems
Transport problems and disintegration maps
By disintegration of transport plans it is introduced the notion of transport class. This allows to consider the Monge problem as a particular case of the Kantorovich transport problem, once a transport class is fixed. The transport problem constrained to a fixed transport class is equivalent to an abstract Monge problem over a Wasserstein space of probability measures. Concerning solvability of this kind of constrained problems, it turns out that in some sense the Monge problem corresponds to a...
Transversal homoclinics in nonlinear systems of ordinary differential equations.
Transversal intersection of separatrices and branching of solutions as obstructions to the existence of an analitic integral in many-dimensional system. I. Basic results: Separatrices of hyperbolic periodic points.
It is well-known that the existence of transversally intersecting separatrices of hyperbolic periodic solutions leads, in a typical situation, to complicated and irregular dynamics. Therefore, in the case of a two-dimensional mapping or a three-dimensional flow, with this transversality property, there is no non-trivial analytic or meromorphic first integral, i.e., a function constant along each trajectory of the system under consideration. Additional robust conditions are obtained and discussed...
Transversalities for Lagrange singularities of isotropic mappings of corank one
Transverse Structures to orbits in algebric groups
Travaux de Herman sur les tores invariants
Travelling water-waves, as a paradigm for bifurcations in reversible infinite dimensional “dynamical" systems.
Treibich-Verdier potentials and the stationary (m)KDV hierarchy.
Triple Collision in the Collinear Three-Body Problem.
Triple Collision in the Planar Isosceles Three Body Problem.
Two remarks about the connection of Jacobi and Neumann integrable systems.
Two results on a class of Poisson structures on Lie groups.
Type des points fixes des difféomorphismes symplectiques de
Un indice di Morse medio per misure invarianti rispetto al flusso lagrangiano
Trattiamo sistemi lagrangiani su varietà, sia autonomi che periodici, e introduciamo un indice di Morse medio per misure invarianti, che generalizza l'indice medio delle orbite periodiche. Dimostriamo che, se lo spazio delle configurazioni è una varietà compatta con gruppo fondamentale finito, gli indici medi delle orbite periodiche sono densi in . Per sistemi periodici, deduciamo l'esistenza di particolari successioni di orbite chiuse, che convergono a misure invarianti di indice medio fissato....
Un principe de prolongement mis en défaut en géométrie symplectique